Combined analysis of transient delay characteristics and delay autocorrelation function in the Geo(X)/G/1 queue [PDF]
We perform a discrete-time analysis of customer delay in a buffer with batch arrivals. The delay of the kth customer that enters the FIFO buffer is characterized under the assumption that the numbers of arrivals per slot are independent and identically ...
Bruneel, Herwig +2 more
core +2 more sources
Distributed Nonlocal Feedback Delays May Destabilize Fronts in Neural Fields, Distributed Transmission Delays Do Not [PDF]
The spread of activity in neural populations is a well-known phenomenon. To understand the propagation speed and the stability of stationary fronts in neural populations, the present work considers a neural field model that involves intracortical and cortico-cortical synaptic interactions.
Hutt, Axel, Zhang, Linghai
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Delay-Dependent Stability Criterion of Caputo Fractional Neural Networks with Distributed Delay
This paper is concerned with the finite-time stability of Caputo fractional neural networks with distributed delay. The factors of such systems including Caputo’s fractional derivative and distributed delay are taken into account synchronously.
Abdulaziz Alofi +3 more
doaj +1 more source
Delay Range Stability of distributed time delay systems [PDF]
Abstract This paper is dedicated to the stability analysis of a class of uncertain distributed delay systems, the kernel of which can be modeled as a polynomial function. The results are constructed by rewriting the system as an uncertain interconnected model. Appropriate robust control tools, i.e.
Gouaisbaut, Frédéric, Ariba, Yassine
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Angiogenesis model with Erlang distributed delays
We consider the model of angiogenesis process proposed by Bodnar and Foryś (2009) with time delays included into the vessels formation and tumour growth processes. Originally, discrete delays were considered, while in the present paper we focus on distributed delays and discuss specific results for the Erlang distributions.
Emad Attia, Marek Bodnar, Urszula Foryś
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The continuous delayed distribution problem
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dina Smirnov +2 more
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Experimental time-delayed feedback control with variable and distributed delays [PDF]
We report on several improvements of the classical time-delayed feedback control method for stabilization of unstable periodic orbits or steady states. In an electronic circuit experiment, we were able to realize time-varying and distributed delays in the control force leading to successful control for large parameter sets, including large time delays.
Jüngling, Thomas +2 more
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Note on oscillation of neutral differential equations with multiple delays
This note is a reaction on a recently published sufficient condition for oscillation of all solutions of a neutral delay differential equation. It is shown by a counterexample that the result is not correct and the problem is explained in details ...
Petr Hasil +3 more
doaj +1 more source
A Recipe for State Dependent Distributed Delay Differential Equations
We use the McKendrick equation with variable ageing rate and randomly distributed maturation time to derive a state dependent distributed delay differential equation.
Cassidy, Tyler +2 more
core +1 more source
A delay logistic equation with variable growth rate [PDF]
A logistic equation with distributed delay is considered in the case where the growth rate oscillates sinusoidally about a positive mean value. A delay kernel is chosen which admits bifurcation of the equilibrium state into a periodic solution when the ...
Cohen, Donald S., Rosenblat, Simon
core +1 more source

